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Finding the Fourth Proportional to 586,178.86, 878,808.94 and 231,458.40

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Solution

The fourth proportional to 586,178.86, 878,808.94 and 231,458.40 is: 347,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,178.86 : 878,808.94 = 231,458.40 : x
  2. Step 2: Convert to fraction form
    586,178.86/878,808.94 = 231,458.40/x
  3. Step 3: Cross multiply
    586,178.86x = 878,808.94 × 231,458.40
  4. Step 4: Simplify right side
    586,178.86x = 203,407,711,158.10
  5. Step 5: Solve for x
    x = 203,407,711,158.10/586,178.86
  6. Step 6: Final answer
    x = 347,006.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.